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Finding the Third Proportional to 371,506 and 814,211

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Solution

The third proportional to 371,506 and 814,211 is: 1,784,465.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,506 : 814,211 = 814,211 : x
  2. Step 2: Convert to fraction form
    371,506/814,211 = 814,211/x
  3. Step 3: Cross multiply
    371,506x = 814,211 × 814,211
  4. Step 4: Simplify right side
    371,506x = 662,939,552,521
  5. Step 5: Solve for x
    x = 662,939,552,521/371,506
  6. Step 6: Final answer
    x = 1,784,465.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.